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Finding the Fourth Proportional to 308,332.78, 462,400.75 and 97,921.51

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Solution

The fourth proportional to 308,332.78, 462,400.75 and 97,921.51 is: 146,851.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,332.78 : 462,400.75 = 97,921.51 : x
  2. Step 2: Convert to fraction form
    308,332.78/462,400.75 = 97,921.51/x
  3. Step 3: Cross multiply
    308,332.78x = 462,400.75 × 97,921.51
  4. Step 4: Simplify right side
    308,332.78x = 45,278,979,665.13
  5. Step 5: Solve for x
    x = 45,278,979,665.13/308,332.78
  6. Step 6: Final answer
    x = 146,851.01

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.